Consider a proof of the following fact: For all n ≥ 4, 2n>n² What should be claimed in the inductive hypothesis? O For every k ≥ 4, if 2k > k², then 2k+1 ≥ (k+1)² O For n=4, 2n>n² O For n=1, 2n ₂ n² For every k ≥ 4, 2k₂ k²
Consider a proof of the following fact: For all n ≥ 4, 2n>n² What should be claimed in the inductive hypothesis? O For every k ≥ 4, if 2k > k², then 2k+1 ≥ (k+1)² O For n=4, 2n>n² O For n=1, 2n ₂ n² For every k ≥ 4, 2k₂ k²
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![Consider a proof of the following fact:
For all n ≥ 4, 2n ≥n²
What should be claimed in the inductive hypothesis?
For every k ≥ 4, if 2k 2 k², then 2k+1> (k+1)²
O For n=4, 2n>n²
For n=1, 2n>n²
For every k ≥ 4, 2kzk²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2Fbccb849f-1b79-47ca-845c-17405b010f20%2F0fnkc2_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a proof of the following fact:
For all n ≥ 4, 2n ≥n²
What should be claimed in the inductive hypothesis?
For every k ≥ 4, if 2k 2 k², then 2k+1> (k+1)²
O For n=4, 2n>n²
For n=1, 2n>n²
For every k ≥ 4, 2kzk²
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